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Well-posedness of the solution of Schwinger-Dyson equation in quantum chromodynamics. (Chinese. English summary) Zbl 1463.81020

Summary: In this paper, we study the Schwinger-Dyson integral equation in quantum chromodynamics under the condition of the finite-temperature. Applying the theory of integral equation and functional analysis, we get the well-posedness of the solution of Schwinger-Dyson integral equation. Furthermore, we prove the existence and uniqueness of critical temperature \({T_c}\), which separates the low-temperature phase where the chiral symmetry is spontaneously broken from the high-temperature phase where the chiral symmetry restores in quantum chromodynamics.

MSC:

81V05 Strong interaction, including quantum chromodynamics
45G10 Other nonlinear integral equations
81Q40 Bethe-Salpeter and other integral equations arising in quantum theory
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